First Flight
Emerald Knights
Ah, the heyday GL in media.
JL: New Frontier 2008
GL: First Flight 2009
GL: Emerald Knight 2011
GL: The Movie 2011
GL: The Animated Series 2011-2013
New Frontier told Hal's origin pretty well. First Flight does the smart thing and takes Hal off Earth for some space adventures.
Emerald Knights I found really bad. I've only seen it once, but I recall not liking that a DTV release was just a collection of short stories of random GLs. Only Kilowog and Abin Sur were the fan favorites added. I don't even think there were any epic battles of space cop action. I may be mistaken though.
I love First Flight! I need animated movies from Emerald Twilight, Zero Hour, Final Night, Rebirth, Sinestro Corps War and Blackest Night!